Solving Axisymmetric Stability Problems by Using Upper Bound Finite Elements, Limit Analysis, and Linear Optimization

Chakraborty, Debarghya and Kumar, Jyant (2014) Solving Axisymmetric Stability Problems by Using Upper Bound Finite Elements, Limit Analysis, and Linear Optimization. In: JOURNAL OF ENGINEERING MECHANICS, 140 (6).

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Abstract

A numerical formulation has been proposed for solving an axisymmetric stability problem in geomechanics with upper bound limit analysis, finite elements, and linear optimization. The Drucker-Prager yield criterion is linearized by simulating a sphere with a circumscribed truncated icosahedron. The analysis considers only the velocities and plastic multiplier rates, not the stresses, as the basic unknowns. The formulation is simple to implement, and it has been employed for finding the collapse loads of a circular footing placed over the surface of a cohesive-frictional material. The formulation can be used to solve any general axisymmetric geomechanics stability problem.

Item Type:	Journal Article
Publication:	JOURNAL OF ENGINEERING MECHANICS
Publisher:	ASCE-AMER SOC CIVIL ENGINEERS
Additional Information:	copyright for this article belongs to ASCE-AMER SOC CIVIL ENGINEERS, USA
Keywords:	Optimization; Limit analysis; Upper bound; Axisymmetric; Plasticity
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	13 Jun 2014 07:25
Last Modified:	13 Jun 2014 07:25
URI:	http://eprints.iisc.ac.in/id/eprint/49244

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